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larisa86 [58]
3 years ago
13

Find ∅ round to the nearest degree A. 24° B. 66° C. 64° D. 26°​

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosθ = \frac{adjacent}{hypotenuse} = \frac{7}{16} , then

θ = cos^{-1} (\frac{7}{16} ) ≈ 64° ( to the nearest degree )

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Two urns contain white balls and yellow balls. The first urn contains 2 white balls and 7 yellow balls and the second urn contai
Romashka [77]

-- The first urn has 9 balls in it all together, and 2 of them are white.
If you don't peek, then the prob of pulling out a white ball is  2/9 .

-- The second urn has 13 balls in it all together, and 3 of them are white.
If you don't peek, then the prob of pulling out a white ball is  3/13 .

-- The probability of being successful BOTH times is

        (2/9) x (3/13)  =  ( 6/117 )  =  about  0.0513  or  5.13% (rounded) 
4 0
3 years ago
Read 2 more answers
Each day Gianna practices penalty kicks with her older brother as the goalie. Yesterday she made 18/24 of her penalty kicks. Tod
Flura [38]

Answer: 27

Step-by-step explanation:

Since we are informed that Gianna practices penalty kicks and that she made 18/24 of her penalty kicks yesterday, this will be converted to its simplest form which will be:

= 18/24 = 3/4 .

If she plans on shooting 36 penalty kicks, the number of penalty kicks that Gianna would have to make to successfully shoot an equivalent fraction as yesterday will be:

= 3/4 × 36

= 3 × 9

= 27 penalty kicks.

8 0
3 years ago
The number 49 has two square roots: 7 and _____​
Ainat [17]

Answer:

-7

Step-by-step explanation:

Square numbers always have two possible roots: a positive and negative root. This is because two positive numbers multiply to make a positive number and two negative numbers also multiply to make a positive number

-7 × -7 is still 49, just like 7 × 7

Hope this helps!

4 0
3 years ago
Read 2 more answers
Is A ABC similar to DEF? Why or why not?
vova2212 [387]

Answer:

Option(D)

Step-by-step explanation:

Given are the two triangles, that are ABC and DEF, in which AB=8ft, DE=6ft, AC=10ft and DF=7.5ft.

For the two triangles to be similar, it must satisfy the similarity condition that is:

Both the triangles must have congruent angles and the sides should be proportional. Since, two sides of the given triangles are not proportional.Moreover, ∠A=25° and ∠D=24° which are not equal and ∠C=60° and ∠F=61° which are also not equal.

Therefore, Not all the angles are congruent, thus the triangles cannot be similar.

6 0
3 years ago
Read 2 more answers
Find the interquartile range for a data set having the five-number summary: 3.5, 10.4, 16, 21.7, 27.7
vlabodo [156]

Answer: 17.75

Step-by-step explanation:

The interquartile range(IQR) is the 3rd quartile - the 1st quartile.

How to get quartiles:

First get the median:

3.5, 10.4, 16, 21.7, 27.7

10.4, 16, 21.7

16

Then find the median of the first half of data(3.5, 10.4)

(3.5+10.4)/2 = 6.95

Then find the median of the last half of data(21.7, 27.7)

(21.7+27.7)/2 = 24.7

Then to get the IQR subtract 6.95 from 24.7 to get 17.75

Hope it helps <3

5 0
4 years ago
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